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| title | chunk | source | category | tags | date_saved | instance |
|---|---|---|---|---|---|---|
| Glossary of areas of mathematics | 5/7 | https://en.wikipedia.org/wiki/Glossary_of_areas_of_mathematics | reference | science, encyclopedia | 2026-05-05T07:50:22.568786+00:00 | kb-cron |
Ideal theory once the precursor name for what is now known as commutative algebra; it is the theory of ideals in commutative rings. Idempotent analysis the study of idempotent semirings, such as the tropical semiring. Incidence geometry the study of relations of incidence between various geometric objects, like curves and lines. Inconsistent mathematics see paraconsistent mathematics. Infinitary combinatorics an expansion of ideas in combinatorics to account for infinite sets. Infinitesimal analysis once a synonym for infinitesimal calculus Infinitesimal calculus See calculus of infinitesimals Information geometry an interdisciplinary field that applies the techniques of differential geometry to study probability theory and statistics. It studies statistical manifolds, which are Riemannian manifolds whose points correspond to probability distributions. Integral calculus The branch of calculus concerned with integralss, contrasted to differential calculus. Integral geometry the theory of measures on a geometrical space invariant under the symmetry group of that space. Intersection theory a branch of algebraic geometry and algebraic topology Intuitionistic type theory a type theory and an alternative foundation of mathematics. Invariant theory studies how group actions on algebraic varieties affect functions. Inventory theory Inversive geometry the study of invariants preserved by a type of transformation known as inversion Inversive plane geometry inversive geometry that is limited to two dimensions Inversive ring geometry Itô calculus extends the methods of calculus to stochastic processes such as Brownian motion (see Wiener process). It has important applications in mathematical finance and stochastic differential equations. Iwasawa theory the study of objects of arithmetic interest over infinite towers of number fields. Iwasawa-Tate theory
== J ==
Job shop scheduling
== K ==
K-theory originated as the study of a ring generated by vector bundles over a topological space or scheme. In algebraic topology it is an extraordinary cohomology theory known as topological K-theory. In algebra and algebraic geometry it is referred to as algebraic K-theory. In physics, K-theory has appeared in type II string theory. (In particular twisted K-theory.) K-homology a homology theory on the category of locally compact Hausdorff spaces. Kähler geometry a branch of differential geometry, more specifically a union of Riemannian geometry, complex differential geometry and symplectic geometry. It is the study of Kähler manifolds. (named after Erich Kähler) KK-theory a common generalization both of K-homology and K-theory as an additive bivariant functor on separable C*-algebras. Klein geometry More specifically, it is a homogeneous space X together with a transitive action on X by a Lie group G, which acts as the symmetry group of the geometry. Knot theory part of topology dealing with knots Kummer theory provides a description of certain types of field extensions involving the adjunction of nth roots of elements of the base field
== L ==
L-theory the K-theory of quadratic forms. Large deviations theory part of probability theory studying events of small probability (tail events). Large sample theory also known as asymptotic theory Lattice theory the study of lattices, being important in order theory and universal algebra Lie algebra theory Lie group theory Lie sphere geometry geometrical theory of planar or spatial geometry in which the fundamental concept is the circle or sphere. Lie theory Line geometry Linear algebra a branch of algebra studying linear spaces and linear maps. It has applications in fields such as abstract algebra and functional analysis; it can be represented in analytic geometry and it is generalized in operator theory and in module theory. Sometimes matrix theory is considered a branch, although linear algebra is restricted to only finite dimensions. Extensions of the methods used belong to multilinear algebra. Linear functional analysis Linear programming a method to achieve the best outcome (such as maximum profit or lowest cost) in a mathematical model whose requirements are represented by linear relationships. List of graphical methods Included are diagram techniques, chart techniques, plot techniques, and other forms of visualization. Local algebra a term sometimes applied to the theory of local rings. Local class field theory the study of abelian extensions of local fields. Low-dimensional topology the branch of topology that studies manifolds, or more generally topological spaces, of four or fewer dimensions.
== M ==